There are various 'models' that you can use to estimate how many shares/percentages your new partner should get. These include (a) his/her investment in time and/or money, (b) the current + potential value of the company, (c) the time and/or money that you as the original founder already put in and various other models. That said, at the end of the day, it's all about value and psychology (both side's feelings).
1. It all really depends on how much value they are giving you (not only financial, sometimes even just moral support goes a long way). Some founder's 'should' get 5%, some should get 50% or more.
2. Ask the potential partner how much shares they want (BEFORE you name a number).
3. Have an open conversation with them in regards to each of your expectations.
4. Use a vesting (or preferably reverse vesting) mechanism - meaning that the founder receives his shares gradually, based on the time that goes by (during which he fulfills his obligations) and/or milestones reached.
5. If you want a mathematical method: calculate the value of each 1% of the shares (based on the last investment round), check how much an average CPO earns per month/year, and then you can calculate what % he/she should get for the 2-3 years they should put in.
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Without knowing the specifics (how many years of experience, what kind of industry connects & their worth, current split between founders and other stake holders etc), it is difficult to estimate the equity share.
Depending on the above, a share anywhere between 10-20% should be good enough. This again varies with the monetary compensation the CPO is provided.